A ternary string is a string made up of 0's, 1's. and 2's. How many ternary strings of length 55 are there?   What is the Number of 55-digit ternary strings:

Q: A child building a tower with blocks uses 15 for the bottom row. Each row has 2 fewer blocks than…

A: Here the sequence of number of blocks in each row represents an arithmetic sequence with First…

Q: Find the number of different ways that an instructor can choose 7 students from a class of 16…

A: No. of students in a class for field trip(n)=16No. of students that an instructor can choose(r)=7

Q: How many ways can 8 runners line up in a race

A: Draw the 8 lines and find the way that how many possible ways for 8 athletes on each place.

Q: how many different ways can the five letters a,b,c,d & e be arranged?

A: Formula :

Q: how many way can six books be arranged on a shelf

A: We need to find the number of ways for arrangement of six books on a shelf.

Q: Assume that 15 exhibits entered the science fair, and that we want to assign 3 prizes: first,…

A:

Q: The first 5 terms of a number pattern are 4,9, 14, 19, 24, ... Which expression is equivalent to the…

A:

Q: Find the number of ways in which we can select a team of 6 players from a class of 12 people.

A:

Q: how many ways can you arrange 4 objects from a set of 15 objects?

A: From the provided information, A set contains 15 objects from which 4 objects will be arranged.

Q: There are 24 wheels total among a group of wagons and bicycles.  How many bicycles are there? How…

A: Let the number of bicycles be B and the number of wagons be W. There are two wheels in a bicycle, so…

Q: In how many different ways can 12 people occupy the 12 seats in a front row of a mini theater ?

A: Given: The number of seats available is 12.  The number of people to be arranged in seats is 12.

Q: How many ways can 4 books be arranged on a shelf if the books are selected from a collection of 100…

A: Here we will use the concept of permutation Permutation = nPr = n!/(n-r)!

Q: How many different ways can 5 cellular cellphones be selected from 8 cellular phones?

A: Given,total no.of cellular phones=8

Q: Find the number of different ways that an instructor can choose 4 students from a class of 31

A: There are 31 students in a class room, out of 31 students 4 students can be chosen in 31C4 ways

Q: Six men and eight women are to line up for a picture with the six men in the middle. How many ways…

A: Given that  Six men and eight women are to line up for a picture with the six men in the middle  How…

Q: a. The large books must always be together. b. The first book and last book must always be medium…

A:

Q: How many different ways can 9 different video games cartridges be arranged on s shelf?  There are…

A:

Q: A person going to a party was asked to bring 3 different bags of chips. Going to the store, she…

A: person going to a party was asked to bring 3 different bags of chips. Going to the store, she finds…

Q: There are 57 runners in the race. How many ways can the runners finish first second and third.

A: given data, there are 57 runners in the race we have to find out the no. of ways can runners finish…

Q: A DJ is preparing a playlist of 21 songs. How many different ways can the DJ arrange the firstsix…

A:

Q: How many 5-number license plates can be made using the digits: 0, 1, 2, 3, 4, 5, if repetitions are…

A: Given that 5-number license plates that are made using digits 0, 1, 2, 3, 4, 5. We have to determine…

Q: There are 1/8 blue balls, 1/4 green balls, 1/12 red balls and there are 26 white balls. How many…

A:

Q: A DJ is preparing a playlist of 20 songs. How many different ways can the DJ arrange the first four…

A: Given,total no.of songs=20

Q: How many ways can 11 DVDs be arranged on a shelf?

A: Given Number of ways can 11 DVDs be arranged on a shelf.

Q: How many different arrangements can be made using all the letters in CALGARY, if the first letter…

A: CALGARY If the first letter must be G.  Then, Starting with G, need to arrange the remaining 6…

Q: You are arranging some old books into boxes. If you put 5 books in each box there are 3 remaining.…

A: Let there are n books total.   Given that If you put 5 books in each box there are 3 remaining.  So…

Q: five singers are to perform on a weekend evening at a night club. how many different ways are there…

A: The number of ways is there to schedule their appearances is,

Q: How many different 5-letter words can be made using all the letters in the word FELICIDAD?

A: The word "FELICIDAD" has 9 letters, but for a 5-letter word, choose 5 letters out of these 9. This…

Q: How many different numbers can you create if you use all the digits 5, 6, 6, 7, 7, 7, 7, 8, and 8?

A: To Determine: How many different numbers can you create if you use all the digits 5, 6, 6, 7, 7, 7,…

Q: How many ways are there in choosing 3 books from a shelf of ( 83 ) books ?

A: The number of way for choosing 3 books from a shelf of 83 books is C383 =83!3!×(83-3)!…

Q: How many arrangements are possible with 7 letters chosen from LAUREL MISSISSIPPI?

A: We have to find no of ways..

Q: Find the number of different ways that an instructor can choose 4 students from a class of 31

A: Given,Total no.of students=31